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Finding the Fourth Proportional to 5,678.97, 8,517.48 and 1,782.46

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Solution

The fourth proportional to 5,678.97, 8,517.48 and 1,782.46 is: 2,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.97 : 8,517.48 = 1,782.46 : x
  2. Step 2: Convert to fraction form
    5,678.97/8,517.48 = 1,782.46/x
  3. Step 3: Cross multiply
    5,678.97x = 8,517.48 × 1,782.46
  4. Step 4: Simplify right side
    5,678.97x = 15,182,067.40
  5. Step 5: Solve for x
    x = 15,182,067.40/5,678.97
  6. Step 6: Final answer
    x = 2,673.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.